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Finding the Fourth Proportional to 1,298.97, 1,801.13 and 1,252.80

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Solution

The fourth proportional to 1,298.97, 1,801.13 and 1,252.80 is: 1,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.97 : 1,801.13 = 1,252.80 : x
  2. Step 2: Convert to fraction form
    1,298.97/1,801.13 = 1,252.80/x
  3. Step 3: Cross multiply
    1,298.97x = 1,801.13 × 1,252.80
  4. Step 4: Simplify right side
    1,298.97x = 2,256,449.40
  5. Step 5: Solve for x
    x = 2,256,449.40/1,298.97
  6. Step 6: Final answer
    x = 1,737.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.